I have had success using two products that I was already using, but I switched up the order in which I use them. The guy (yes, guy) at the Clinique counter told me to use the emergency mask first then use a scrub, such as the 7-day scrub. The mask brings all the gunk up to the surface and the scrub cleans it away. I did this twice, a couple days apart, and my blackheads got much better right away.
This goes without saying, but wash your face before using the mask.